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43134214041 = 3441173193389
BaseRepresentation
bin101000001010111111…
…111101111110011001
311010100002122002220000
4220022333331332121
51201314324322131
631452055523213
73054622525032
oct501277757631
9133302562800
1043134214041
1117325159486
128439689509
1340b54c9699
14213294da89
1511c6c3cce6
hexa0affdf99

43134214041 has 80 divisors (see below), whose sum is σ = 66903716880. Its totient is φ = 27676753920.

The previous prime is 43134214033. The next prime is 43134214061. The reversal of 43134214041 is 14041243134.

It can be written as a sum of positive squares in 8 ways, for example, as 4175744400 + 38958469641 = 64620^2 + 197379^2 .

It is not a de Polignac number, because 43134214041 - 23 = 43134214033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 43134213996 and 43134214014.

It is not an unprimeable number, because it can be changed into a prime (43134214061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 110884675 + ... + 110885063.

It is an arithmetic number, because the mean of its divisors is an integer number (836296461).

Almost surely, 243134214041 is an apocalyptic number.

43134214041 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

43134214041 is a deficient number, since it is larger than the sum of its proper divisors (23769502839).

43134214041 is a wasteful number, since it uses less digits than its factorization.

43134214041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 43134214041 its reverse (14041243134), we get a palindrome (57175457175).

The spelling of 43134214041 in words is "forty-three billion, one hundred thirty-four million, two hundred fourteen thousand, forty-one".

Divisors: 1 3 9 27 41 81 123 173 193 369 389 519 579 1107 1167 1557 1737 3321 3501 4671 5211 7093 7913 10503 14013 15633 15949 21279 23739 31509 33389 47847 63837 67297 71217 75077 100167 143541 191511 201891 213651 225231 300501 430623 574533 605673 640953 675693 901503 1291869 1368949 1817019 2027079 2704509 2759177 3078157 4106847 5451057 6081237 8277531 9234471 12320541 12988321 24832593 27703413 36961623 38964963 74497779 83110239 110884869 116894889 223493337 249330717 350684667 532521161 1052054001 1597563483 4792690449 14378071347 43134214041